# Sparking Recursion

Calculus Level 4

$(a_{n+1})^{2}a_n + 2(a_{n+1})-a_n=0$

Let a recursive sequence $$\{a_n\}$$ be defined as given above with $$a_0=1$$, then evaluate $\lim_{n \rightarrow \infty} \left [ 2^{n}(a_n) \right ]$

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